{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from ggplot import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<ggplot: (291482713)>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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T6WAymRAUFIQVK1YAAFxcXPDBBx/g/fffx65duzB16lQEBQVh7dq1Vn4nluGUGCIiIiIa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\nAjsAAABgYgR2AAAAwMT+DzlcNA3fkpGfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118da10d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(x='cty', y='hwy', shape='trans')) + geom_point()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
